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The pointwise estimates of solutions to the Cauchy problem of a chemotaxis model - MaRDI portal

The pointwise estimates of solutions to the Cauchy problem of a chemotaxis model (Q270166)

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scientific article; zbMATH DE number 6564022
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The pointwise estimates of solutions to the Cauchy problem of a chemotaxis model
scientific article; zbMATH DE number 6564022

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    The pointwise estimates of solutions to the Cauchy problem of a chemotaxis model (English)
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    7 April 2016
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    The authors consider an attraction-repulsion chemotaxis model with a chemoattractant and a chemorepellent in several space variables. Under suitable smallness assumptions on the initial data when the diffusion term dominates attraction-repulsion effects, they prove long time decay estimates of solutions in Sobolev space norms.
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    attraction-repulsion chemotaxis model
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    decay rates
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    small solutions
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